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Finding the Fourth Proportional to 3,505.25, 5,257.88 and 1,426.39

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Solution

The fourth proportional to 3,505.25, 5,257.88 and 1,426.39 is: 2,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.25 : 5,257.88 = 1,426.39 : x
  2. Step 2: Convert to fraction form
    3,505.25/5,257.88 = 1,426.39/x
  3. Step 3: Cross multiply
    3,505.25x = 5,257.88 × 1,426.39
  4. Step 4: Simplify right side
    3,505.25x = 7,499,787.45
  5. Step 5: Solve for x
    x = 7,499,787.45/3,505.25
  6. Step 6: Final answer
    x = 2,139.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.